The dimension that would give the maximum area is 20.8569
<h3>How to solve for the maximum area</h3>
Let the shorter side be = x
Perimeter of the semi-circle is πx
Twice the Length of the longer side
![[70-(\pi )x -x]](https://tex.z-dn.net/?f=%5B70-%28%5Cpi%20%29x%20-x%5D)
Length = ![[70-(1+\pi )x]/2](https://tex.z-dn.net/?f=%5B70-%281%2B%5Cpi%20%29x%5D%2F2)
Total area =
area of rectangle + area of the semi-circle.
Total area =
![x[[70-(1+\pi )x]/2] + [(\pi )(x/2)^2]/2](https://tex.z-dn.net/?f=x%5B%5B70-%281%2B%5Cpi%20%29x%5D%2F2%5D%20%2B%20%5B%28%5Cpi%20%29%28x%2F2%29%5E2%5D%2F2)
When we square it we would have
![70x +[(\pi /4)-(1+\pi)]x^2](https://tex.z-dn.net/?f=70x%20%2B%5B%28%5Cpi%20%2F4%29-%281%2B%5Cpi%29%5Dx%5E2)
This gives
![70x - [3.3562]x^2](https://tex.z-dn.net/?f=70x%20-%20%5B3.3562%5Dx%5E2)
From here we divide by 2
The maximum side would be at
This gives us 20.8569
Read more on areas and dimensions here:
brainly.com/question/19819849
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Answer:
45
Step-by-step explanation:
There were 72 kids meals sold which is represented by 8 parts of the ratio.
Divide by 8 to find the value of one part of the ratio
72 ÷ 8 = 9 ← value of 1 part of the ratio, thus
5 × 9 = 45 ← number of adult meals sold
Answer:
<u>The correct answer is x = 7.05</u>
Step-by-step explanation:
1. Let's review the information given for answering the question:
7. 9x = 55.68
2. For solving the equation, we should proceed this way:
x = 55.68/7.9
x = 7.0481
<u>x = 7.05 (Rounding to two decimal places)</u>
<u>3. </u>Let's prove if the value of x is correct
7.9 * 7.05 = 55.68
55.69 = 55.68
<u>The value is correct because we rounded the value of x</u>
Answer:
The answer is D.
Step-by-step explanation:
It's D because a expression is numbers grouped together not just 1 number. Hope it helps and have a blessed day.
